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Mastering 3D Shapes Properties

Mathematics
GCSE Foundation
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About This Worksheet

A worksheet covering 3D Shapes Properties for GCSE Foundation students.

Topics covered:

#Mathematics
#3D Shapes Properties

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Mastering 3D Shapes Properties

Subject: MathematicsGrade: GCSE Foundation
Name:
Date:

Untitled Worksheet

Grade GCSE Foundation
A

Introduction

Review the key formulas: Surface Area and Volume of Cubes, Cuboids, Cylinders, Cones, and Spheres. Use these formulas to solve the questions below.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the surface area of a cube with side length 5 cm.
[2 marks]
2.
Find the volume of a cuboid measuring 8 cm by 3 cm by 4 cm.
[2 marks]
3.
A cylinder has a radius of 3 cm and a height of 10 cm. Calculate its surface area. (Use π ≈ 3.14)
[3 marks]
4.
What is the volume of a cone with radius 4 cm and height 9 cm? (Use π ≈ 3.14)
[3 marks]
5.
A sphere has a diameter of 10 cm. Calculate its surface area. (Use π ≈ 3.14)
[3 marks]
6.
Explain why the volume of a sphere depends on the cube of its radius.
[4 marks]
7.
A rectangular prism has length 12 cm, width 5 cm, and height 4 cm. Find its surface area.
[3 marks]
8.
Calculate the volume of a cylinder with a radius of 7 cm and height 14 cm. (Use π ≈ 3.14)
[3 marks]
9.
A cone has a slant height of 13 cm, radius 5 cm, and height 12 cm. Find the lateral surface area. (Use π ≈ 3.14)
[3 marks]
10.
A sphere's surface area is 615.44 cm². Find its radius. (Use π ≈ 3.14)
[3 marks]
11.
A real-world object is shaped like a cylinder with radius 10 cm and height 20 cm. Calculate its volume to estimate how much material is needed. (Use π ≈ 3.14)
[4 marks]
12.
Challenge: A tank in the shape of a cone has a radius of 6 meters and height of 9 meters. How much water (in cubic meters) can it hold when filled to the top? Use π ≈ 3.14.
[4 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet
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